Shell model foundations of the proxy-SU(3) symmetry: Nucleon pairs creating nuclear deformation

Mixed Symmetry Nuclear Shell Model

A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model is used to demonstrate the concept. The theory is then applied to 24Mg and 44T i. For lower pf -shell nuclei such as 44−48T i and 48Cr there is strong SU(3) symmetry breaking due to the spin-orbit interaction. Howeve...

Solution of the Nuclear Shell Model by Symmetry - Dictated Truncation ∗

Isospin symmetry breaking and the nuclear shell model

The effect of isospin symmetry breaking on level statistics has been examined with the nuclear shell model. The eigenvalues and electromagnetic transitions were calculated with the program OXBASH for the nuclide 26Al for conserved isospin and for broken isospin. The long-range correlations of the eigenvalues, as measured by ∆3, show good agreement between the experimental results and the calcul...

Isospin symmetry breaking nucleon-nucleon potentials and nuclear structure

Modern nucleon-nucleon (NN) potentials, which accurately fit the nucleon-nucleon scattering phase shifts, contain terms which break isospin symmetry. The effects of these symmetry violating terms on the bulk properties of nuclear matter are investigated. The predictions of the charge symmetry breaking (CSB) terms are compared with the Nolen-Schiffer (NS) anomaly regarding the energies of neighb...

Symmetry properties of SU3 vector coupling coefficients

A presentation of the problem of calculating the vector coupling coefficients for SU3 ⊃ SU2⊗U1 is made, in the spirit of traditional treatments of SU2 coupling. The coefficients are defined as the overlap matrix element between product states and a coupled state with good SU3 quantum numbers. A technique for resolution of the outer degeneracy problem, based upon actions of the infinitesimal gen...